GEOMETRIA ANALÍTICA

Let us know a bit of analytic geometry.


ANALYTICAL GEOMETRY



 Hyperbolas are one of the fronts of the study Analítica.A Analytical Geometry geometry, also called geometric coordinates, based on studies of the geometry through the use of algebra. Initial studies are attached to the French mathematician René Descartes (1596 -1650), creator of the Cartesian coordinate system.

The studies related to Analytical Geometry date its beginnings in the seventeenth century, Descartes, to relate algebra to geometry, mathematical principles that created by geometric methods to analyze the properties of the point, the line and the circle, determining distances between them, location and coordinate points.

 An important feature of G.A. presents the definition of geometric shapes numeric mode, extracting information data representation. Based on these studies, mathematics is seen as a modern discipline, able to explain and demonstrate situations related to space. The intuitive notions of vectors begin to be explored forcefully in the search for numerical results that express the ideas of the union of geometry with algebra.


The vectors are the basis of studies of the vector space, objects that have the characteristics related to size and direction. The vectors are widely used in physics, as an aid in the related Vector Kinematics, Dynamics, Electric Field and other related content calculation tool.
Scientists Isaac Newton and Gottfried Wilhelm Leibniz studies focused on analytic geometry, which served as theoretical and practical for the emergence of the Differential and Integral Calculus based, very used in Engineering.

We can relate the following topics to the study of GA:

Analytical Study Point
Cartesian plane
Distance between two points
Midpoint of a segment
Alignment condition of three points
Study of Straight
And reduced overall equation of the line
Intersection of straight
parallelism
perpendicularity
Angles between straight
Distance between point and line
Study Circle
And reduced overall equation of the circle
Relative positions between dot and circle
Relative positions between straight and circumference
Problems related to tangency
Study of Conical
ellipse
hyperbole
Parable intersection between conical
Tangent lines to a conic